Solve =8/3-2*4/2-2+4/2+6

$$= \frac { 8 } { 3 } - 2 \cdot \frac { 4 } { 2 } - 2 + \frac { 4 } { 2 } + 6$$

Evaluate

$$\frac{14}{3}\approx 4.666666667$$

Solution Steps

Divide 4 by 2 to get 2.

$$\frac{8}{3}-2\times 2-2+\frac{4}{2}+6$$

Multiply 2 and 2 to get 4.

$$\frac{8}{3}-4-2+\frac{4}{2}+6$$

Convert 4 to fraction \frac{12}{3}.

$$\frac{8}{3}-\frac{12}{3}-2+\frac{4}{2}+6$$

Since \frac{8}{3} and \frac{12}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-12}{3}-2+\frac{4}{2}+6$$

Subtract 12 from 8 to get -4.

$$-\frac{4}{3}-2+\frac{4}{2}+6$$

Convert 2 to fraction \frac{6}{3}.

$$-\frac{4}{3}-\frac{6}{3}+\frac{4}{2}+6$$

Since -\frac{4}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-4-6}{3}+\frac{4}{2}+6$$

Subtract 6 from -4 to get -10.

$$-\frac{10}{3}+\frac{4}{2}+6$$

Divide 4 by 2 to get 2.

$$-\frac{10}{3}+2+6$$

Convert 2 to fraction \frac{6}{3}.

$$-\frac{10}{3}+\frac{6}{3}+6$$

Since -\frac{10}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

$$\frac{-10+6}{3}+6$$

Add -10 and 6 to get -4.

$$-\frac{4}{3}+6$$

Convert 6 to fraction \frac{18}{3}.

$$-\frac{4}{3}+\frac{18}{3}$$

Since -\frac{4}{3} and \frac{18}{3} have the same denominator, add them by adding their numerators.

$$\frac{-4+18}{3}$$

Add -4 and 18 to get 14.

$$\frac{14}{3}$$

Factor

$$\frac{2 \cdot 7}{3} = 4\frac{2}{3} = 4.666666666666667$$